What is the length of latus rectum of the parabola?
Consider the following for the next two (02) items that follow: A parabola passes through (1, 2) and satisfies the differential equation \frac{dy}{dx}=\frac{2y}{x}, x \gt 0, y \gt 0.
- A. 1
- B. \frac{1}{2} ✓
- C. \frac{1}{4}
- D. \frac{1}{8}
Correct Answer: B. \frac{1}{2}
Explanation
From the previous solution, the equation of the parabola is x^2 = \frac{1}{2}y. Comparing this with the standard form x^2 = 4ay, the length of the latus rectum is 4a = \frac{1}{2}.
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